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Finding the Third Proportional to 16,378,026 and 25,690,074

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Solution

The third proportional to 16,378,026 and 25,690,074 is: 40,296,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,378,026 : 25,690,074 = 25,690,074 : x
  2. Step 2: Convert to fraction form
    16,378,026/25,690,074 = 25,690,074/x
  3. Step 3: Cross multiply
    16,378,026x = 25,690,074 × 25,690,074
  4. Step 4: Simplify right side
    16,378,026x = 659,979,902,125,476
  5. Step 5: Solve for x
    x = 659,979,902,125,476/16,378,026
  6. Step 6: Final answer
    x = 40,296,669.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.